SOLUTION: Have I done this correctly? (I am writing it out in words; have tried twice to write it, once using formula plotting system) 5 minus m over 7 minus m equals 2 over 3 5 minus m eq

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Question 270998: Have I done this correctly? (I am writing it out in words; have tried twice to write it, once using formula plotting system)
5 minus m over 7 minus m equals 2 over 3
5 minus m equals 2 times 7 minus m over 3
2 m minus m equals 14 minus 5 over 3
m equals 9 over 3
m equals 3

Thank you, Elizabeth
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


A gallant effort, Elizabeth, but not quite right. Here's how I know:

You say . If that is true, then:



must be a true statement. But



You were on the right track on the second step, but where you went from there I cannot fathom.



You multiplied both sides of the equation by the denominator on the left to get:



Your next step should have been to distribute the 2 in the numerator on the right, thus:



Then you can multiply both sides by 3, the denominator on the right:



Distribute the 3:



Add to both sides:



Add -15 to both sides:





Multiply both sides by -1:



Check the answer:





Yep, it checks.


John